### Abstract

The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.

Original language | English |
---|---|

Pages (from-to) | 1030-1036 |

Number of pages | 7 |

Journal | Journal of Mathematical Economics |

Volume | 41 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2005 Dec |

### Fingerprint

### Keywords

- Discrete set
- Fixed point theorem

### ASJC Scopus subject areas

- Economics and Econometrics
- Applied Mathematics

### Cite this

*Journal of Mathematical Economics*,

*41*(8), 1030-1036. https://doi.org/10.1016/j.jmateco.2005.03.001

**Discrete fixed point theorem reconsidered.** / Iimura, Takuya; Murota, Kazuo; Tamura, Akihisa.

Research output: Contribution to journal › Article

*Journal of Mathematical Economics*, vol. 41, no. 8, pp. 1030-1036. https://doi.org/10.1016/j.jmateco.2005.03.001

}

TY - JOUR

T1 - Discrete fixed point theorem reconsidered

AU - Iimura, Takuya

AU - Murota, Kazuo

AU - Tamura, Akihisa

PY - 2005/12

Y1 - 2005/12

N2 - The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.

AB - The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.

KW - Discrete set

KW - Fixed point theorem

UR - http://www.scopus.com/inward/record.url?scp=27744567284&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27744567284&partnerID=8YFLogxK

U2 - 10.1016/j.jmateco.2005.03.001

DO - 10.1016/j.jmateco.2005.03.001

M3 - Article

VL - 41

SP - 1030

EP - 1036

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

SN - 0304-4068

IS - 8

ER -